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Finding the Third Proportional to 6,471 and 15,709.50

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Solution

The third proportional to 6,471 and 15,709.50 is: 38,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 15,709.50 = 15,709.50 : x
  2. Step 2: Convert to fraction form
    6,471/15,709.50 = 15,709.50/x
  3. Step 3: Cross multiply
    6,471x = 15,709.50 × 15,709.50
  4. Step 4: Simplify right side
    6,471x = 246,788,390.25
  5. Step 5: Solve for x
    x = 246,788,390.25/6,471
  6. Step 6: Final answer
    x = 38,137.60

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.